What is the Least Common Multiple of 9732 and 9737?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 9732 and 9737 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9732 and 9737, than apply into the LCM equation.

GCF(9732,9737) = 1
LCM(9732,9737) = ( 9732 × 9737) / 1
LCM(9732,9737) = 94760484 / 1
LCM(9732,9737) = 94760484

Least Common Multiple (LCM) of 9732 and 9737 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9732 and 9737. First we will calculate the prime factors of 9732 and 9737.

Prime Factorization of 9732

Prime Factorization of 9737

Now multiplying the highest exponent prime factors to calculate the LCM of 9732 and 9737.

LCM(9732,9737) = 2² × 3¹ × 811¹ × 7¹ × 13¹ × 107¹
LCM(9732,9737) = 94760484